The local stability of the periodic solution of the system (1.3) may be determined by considering the behavior of small amplitude perturbations of the solution.
The local stability of the periodic solution ((S_{0}, 0, 0, c^(t))) may be determined by considering the behavior of small amplitude perturbations of the solution.
Adhesion forces significantly affect the behavior of small particles.
Latora, V. & Marchiori, M. Efficient behavior of small-world networks.
For these equations, as with KPZ, the main challenge is that, at very small scales, the behavior of the solutions is very rough and irregular.
What Hairer did instead is to define objects, custom-built for the equation at hand, that approximate the behavior of the solution at small scales.
Together with the fact of the oscillation [27] of all solutions this leads to chaos in behavior of solutions in the sense that small errors in a measurement of x ( t 0 ) and x ′ ( t 0 ) can imply unpredictable changes in x ( t 0 + ω ) and x ′ ( t 0 + ω ).
In this paper the post-optimal analysis is presented, which studies the behavior of optimal (feasible) solutions under small changes in the input data taken into account by this design problem.
In this article, under the proof-frame of [2, 11], we investigate the global behavior of weak solutions of the problem (1 - 3) for (gamma= 5/3) under the assumption of small mass depending on the given forces.
